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Finding the Fourth Proportional to 20,421.45, 30,634.06 and 7,942.41

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Solution

The fourth proportional to 20,421.45, 30,634.06 and 7,942.41 is: 11,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,421.45 : 30,634.06 = 7,942.41 : x
  2. Step 2: Convert to fraction form
    20,421.45/30,634.06 = 7,942.41/x
  3. Step 3: Cross multiply
    20,421.45x = 30,634.06 × 7,942.41
  4. Step 4: Simplify right side
    20,421.45x = 243,308,264.48
  5. Step 5: Solve for x
    x = 243,308,264.48/20,421.45
  6. Step 6: Final answer
    x = 11,914.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.